Metal-insulator transitions and strong electron correlations

Kristel Michielsen

doi:10.1142/S0217979293002961

Metal-insulator transitions and strong electron correlations

Kristel Michielsen^*

^*Corresponding author for this work

Research output: Contribution to journal › Review article › peer-review

Abstract

An overview of lattice models for strongly correlated electrons is given. A detailed study is presented of a model recently introduced by Montorsi and Rasetti. Analytical, exact diagonalization and Quantum Monte Carlo techniques are employed to investigate the static and dynamic properties of this model. The complete ground state phase diagram of the one-, two- and three-dimensional model is given. The Montorsi-Rasetti model is shown to exhibit a metal-insulator transition of the Mott type, independent of the dimensionality of the lattice, and has a ferromagnetic phase. Results for the two-dimensional Montorsi-Rasetti model strongly suggest the occurrence of a phase transition at finite temperatures.

Original language	English
Pages (from-to)	2571-2653
Number of pages	83
Journal	International Journal of Modern Physics B
Volume	7
Issue number	14
DOIs	https://doi.org/10.1142/S0217979293002961
Publication status	Published - 30-Jun-1993

Keywords

DIMENSIONAL HUBBARD-MODEL
BOND-CHARGE REPULSION
FALICOV-KIMBALL MODEL
ANTIFERROMAGNETIC HEISENBERG-MODEL
HIGH-TC SUPERCONDUCTIVITY
ONE-BODY APPROXIMATION
MONTE-CARLO
GROUND-STATE
THERMODYNAMIC PROPERTIES
PHASE-DIAGRAM

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@article{7e5e3e85770b4c7592855846484024ff,

title = "Metal-insulator transitions and strong electron correlations",

abstract = "An overview of lattice models for strongly correlated electrons is given. A detailed study is presented of a model recently introduced by Montorsi and Rasetti. Analytical, exact diagonalization and Quantum Monte Carlo techniques are employed to investigate the static and dynamic properties of this model. The complete ground state phase diagram of the one-, two- and three-dimensional model is given. The Montorsi-Rasetti model is shown to exhibit a metal-insulator transition of the Mott type, independent of the dimensionality of the lattice, and has a ferromagnetic phase. Results for the two-dimensional Montorsi-Rasetti model strongly suggest the occurrence of a phase transition at finite temperatures.",

keywords = "DIMENSIONAL HUBBARD-MODEL, BOND-CHARGE REPULSION, FALICOV-KIMBALL MODEL, ANTIFERROMAGNETIC HEISENBERG-MODEL, HIGH-TC SUPERCONDUCTIVITY, ONE-BODY APPROXIMATION, MONTE-CARLO, GROUND-STATE, THERMODYNAMIC PROPERTIES, PHASE-DIAGRAM",

author = "Kristel Michielsen",

year = "1993",

month = jun,

day = "30",

doi = "10.1142/S0217979293002961",

language = "English",

volume = "7",

pages = "2571--2653",

journal = "International Journal of Modern Physics B",

issn = "0217-9792",

number = "14",

}

TY - JOUR

T1 - Metal-insulator transitions and strong electron correlations

AU - Michielsen, Kristel

PY - 1993/6/30

Y1 - 1993/6/30

N2 - An overview of lattice models for strongly correlated electrons is given. A detailed study is presented of a model recently introduced by Montorsi and Rasetti. Analytical, exact diagonalization and Quantum Monte Carlo techniques are employed to investigate the static and dynamic properties of this model. The complete ground state phase diagram of the one-, two- and three-dimensional model is given. The Montorsi-Rasetti model is shown to exhibit a metal-insulator transition of the Mott type, independent of the dimensionality of the lattice, and has a ferromagnetic phase. Results for the two-dimensional Montorsi-Rasetti model strongly suggest the occurrence of a phase transition at finite temperatures.

AB - An overview of lattice models for strongly correlated electrons is given. A detailed study is presented of a model recently introduced by Montorsi and Rasetti. Analytical, exact diagonalization and Quantum Monte Carlo techniques are employed to investigate the static and dynamic properties of this model. The complete ground state phase diagram of the one-, two- and three-dimensional model is given. The Montorsi-Rasetti model is shown to exhibit a metal-insulator transition of the Mott type, independent of the dimensionality of the lattice, and has a ferromagnetic phase. Results for the two-dimensional Montorsi-Rasetti model strongly suggest the occurrence of a phase transition at finite temperatures.

KW - DIMENSIONAL HUBBARD-MODEL

KW - BOND-CHARGE REPULSION

KW - FALICOV-KIMBALL MODEL

KW - ANTIFERROMAGNETIC HEISENBERG-MODEL

KW - HIGH-TC SUPERCONDUCTIVITY

KW - ONE-BODY APPROXIMATION

KW - MONTE-CARLO

KW - GROUND-STATE

KW - THERMODYNAMIC PROPERTIES

KW - PHASE-DIAGRAM

U2 - 10.1142/S0217979293002961

DO - 10.1142/S0217979293002961

M3 - Review article

SN - 0217-9792

VL - 7

SP - 2571

EP - 2653

JO - International Journal of Modern Physics B

JF - International Journal of Modern Physics B

IS - 14

ER -

Metal-insulator transitions and strong electron correlations

Abstract

Keywords

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